About This Chapter
Simplifying and Solving Rational Expressions - Chapter Summary and Learning Objectives
As you may know, a rational expression is a fraction with polynomials in the numerator and denominator. Working with rational expressions means you need to understand how to work with fractions. Keeping that in mind will help you a lot as you watch our lessons and work on the provided practice problems.
We tackle addition and subtraction in a lesson. You'll get tips and straightforward instruction on how to add and subtract rational expressions from our video lessons. The key thing you will focus on here is to get to the least common multiple, so you can then figure the equation. There is a complimenting lesson that provides some practice problems to give you some experience in working with adding and subtracting rational expressions.
We also have a lesson that introduces you to multiplying and dividing rational expressions. You are going to see some tips on how to work with problems that will make it easier on you to get correct answers every time (hint: it's all about simplifying expressions). You'll also have a practice problem lesson that will give you the chance to put your new skills to use.
Have you worked with rational equations? Our lesson on solving rational equations will introduce you to this type of problem. You'll get to see various types of problems and learn tricks to make it simple to solve all types of rational equations. Put your skills to use with our practice problem lesson.
Don't wait another minute to learn more about rational expressions! Thanks for watching!
1. How to Multiply and Divide Rational Expressions
Multiplying and dividing rational polynomial expressions is exactly like multiplying and dividing fractions. Like fractions, we will reduce. With polynomial expressions we use factoring and canceling. I also give you a little mnemonic to help you remember when you need a common denominator and when you don't.
2. Multiplying and Dividing Rational Expressions: Practice Problems
Let's continue looking at multiplying and dividing rational polynomials. In this lesson, we will look at a couple longer problems, while giving you some practice multiplying and dividing.
3. How to Add and Subtract Rational Expressions
Adding and subtracting rational expressions brings everything you learned about fractions into the world of algebra. We will mix common denominators with factoring and FOILing.
4. Practice Adding and Subtracting Rational Expressions
Adding and subtracting rational expressions can feel daunting, especially when trying to find a common denominator. Let me show you the process I like to use. I think it will make adding and subtracting rational expressions more enjoyable!
5. How to Solve a Rational Equation
A rational equation is one that contains fractions. Yes, we will be finding a common denominator that has 'x's. But no worries! Together we will use a process that will help us solve rational equations every time!
6. Rational Equations: Practice Problems
Mario and Bill own a local carwash and have several complex tasks that they must use rational equations to solve for an answer. Enjoy learning how they solve these equations to help them with some of their day-to-day tasks.
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Other chapters within the Math 102: College Mathematics course
- Math Foundations
- Linear Equations
- Solving and Graphing Inequalities
- Graphing and Factoring Quadratic Equations
- Complex and Imaginary Numbers
- Properties of Exponents
- Properties of Polynomials
- Properties of Functions
- Logarithms and Exponential Equations
- Probability and Statistics
- Studying for Math 102